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0

How to draw curve of $y=(6x+2)^{frac{1}{3}}$ in domain $-1:3$ with tikz?

begin{tikzpicture}[scale=1,line join=round, font=footnotesize]

coordinate[label={[rotate=28,shift={(.3,-.05)}]above:{$A(1,2)$}}] (A) at (1,2);

coordinate[label={[shift={(.05,.15)}]left:$B$}] (B) at (0,1.5);

coordinate[label={[shift={(.13,-.05)}]above:$C$}] (C) at (2,0);

coordinate[label={[shift={(-.15,0)}]below:$O$}] (O) at (0,0);

coordinate[label={[shift={(0,.05)}]right:$E$}] (E) at (.55,1.1);

draw[-stealth] (-1,0)--(4,0) node[right]{$X$};

draw[-stealth] (0,-2)--(0,3) node[above]{$Y$};

siku{B}{A}{C}

draw[Periwinkle,domain=-1:3,samples=200,smooth] plot (x,{.5*x+1.5});

draw[Peach] (O)--(A)--($(C)!-.3!(A)$) (B)--(C) ;

draw[blue,thick,domain=0:3,samples=200,smooth] plot (x,{(6*x+2)^(1/3)}) node[right,black] {$y=(6x+2)^{frac{1}{3}}$}; %here the plot

end{tikzpicture}

tikz-pgf

share|improve this question

asked 13 mins ago

kalakaykalakay

1,037725

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  What are the definitions of siku, Periwinkle and Peach? Please provide us with a complete MWE. And the argument of the power becomes negative in the domain you specify, so you need to specify what to do do with these values.
  
  – marmot
  10 mins ago
  
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  newcommand{siku}[4][.2cm]% #1=size (optional), #2-#4 three points: angle #2#3#4 {coordinate (tempa) at ($(#3)!#1!(#2)$); coordinate (tempb) at ($(#3)!#1!(#4)$); coordinate (tempc) at ($(tempa)!0.5!(tempb)$); draw[darkgray] (tempa) -- ($(#3)!2!(tempc)$) -- (tempb); }
  
  – kalakay
  6 mins ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  sign for a right angle
  
  – kalakay
  5 mins ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  usepackage[dvipsnames]{xcolor}
  
  – kalakay
  3 mins ago
  

  
  
  
  

add a comment | 

0

How to draw curve of $y=(6x+2)^{frac{1}{3}}$ in domain $-1:3$ with tikz?

begin{tikzpicture}[scale=1,line join=round, font=footnotesize]

coordinate[label={[rotate=28,shift={(.3,-.05)}]above:{$A(1,2)$}}] (A) at (1,2);

coordinate[label={[shift={(.05,.15)}]left:$B$}] (B) at (0,1.5);

coordinate[label={[shift={(.13,-.05)}]above:$C$}] (C) at (2,0);

coordinate[label={[shift={(-.15,0)}]below:$O$}] (O) at (0,0);

coordinate[label={[shift={(0,.05)}]right:$E$}] (E) at (.55,1.1);

draw[-stealth] (-1,0)--(4,0) node[right]{$X$};

draw[-stealth] (0,-2)--(0,3) node[above]{$Y$};

siku{B}{A}{C}

draw[Periwinkle,domain=-1:3,samples=200,smooth] plot (x,{.5*x+1.5});

draw[Peach] (O)--(A)--($(C)!-.3!(A)$) (B)--(C) ;

draw[blue,thick,domain=0:3,samples=200,smooth] plot (x,{(6*x+2)^(1/3)}) node[right,black] {$y=(6x+2)^{frac{1}{3}}$}; %here the plot

end{tikzpicture}

tikz-pgf

share|improve this question

asked 13 mins ago

kalakaykalakay

1,037725

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  What are the definitions of siku, Periwinkle and Peach? Please provide us with a complete MWE. And the argument of the power becomes negative in the domain you specify, so you need to specify what to do do with these values.
  
  – marmot
  10 mins ago
  
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  newcommand{siku}[4][.2cm]% #1=size (optional), #2-#4 three points: angle #2#3#4 {coordinate (tempa) at ($(#3)!#1!(#2)$); coordinate (tempb) at ($(#3)!#1!(#4)$); coordinate (tempc) at ($(tempa)!0.5!(tempb)$); draw[darkgray] (tempa) -- ($(#3)!2!(tempc)$) -- (tempb); }
  
  – kalakay
  6 mins ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  sign for a right angle
  
  – kalakay
  5 mins ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  usepackage[dvipsnames]{xcolor}
  
  – kalakay
  3 mins ago
  

  
  
  
  

add a comment | 

How to draw curve of $y=(6x+2)^{frac{1}{3}}$ in domain $-1:3$ with tikz?

begin{tikzpicture}[scale=1,line join=round, font=footnotesize]

coordinate[label={[rotate=28,shift={(.3,-.05)}]above:{$A(1,2)$}}] (A) at (1,2);

coordinate[label={[shift={(.05,.15)}]left:$B$}] (B) at (0,1.5);

coordinate[label={[shift={(.13,-.05)}]above:$C$}] (C) at (2,0);

coordinate[label={[shift={(-.15,0)}]below:$O$}] (O) at (0,0);

coordinate[label={[shift={(0,.05)}]right:$E$}] (E) at (.55,1.1);

draw[-stealth] (-1,0)--(4,0) node[right]{$X$};

draw[-stealth] (0,-2)--(0,3) node[above]{$Y$};

siku{B}{A}{C}

draw[Periwinkle,domain=-1:3,samples=200,smooth] plot (x,{.5*x+1.5});

draw[Peach] (O)--(A)--($(C)!-.3!(A)$) (B)--(C) ;

draw[blue,thick,domain=0:3,samples=200,smooth] plot (x,{(6*x+2)^(1/3)}) node[right,black] {$y=(6x+2)^{frac{1}{3}}$}; %here the plot

end{tikzpicture}

tikz-pgf

share|improve this question

asked 13 mins ago

kalakaykalakay

1,037725

begin{tikzpicture}[scale=1,line join=round, font=footnotesize]

coordinate[label={[rotate=28,shift={(.3,-.05)}]above:{$A(1,2)$}}] (A) at (1,2);

coordinate[label={[shift={(.05,.15)}]left:$B$}] (B) at (0,1.5);

coordinate[label={[shift={(.13,-.05)}]above:$C$}] (C) at (2,0);

coordinate[label={[shift={(-.15,0)}]below:$O$}] (O) at (0,0);

coordinate[label={[shift={(0,.05)}]right:$E$}] (E) at (.55,1.1);

draw[-stealth] (-1,0)--(4,0) node[right]{$X$};

draw[-stealth] (0,-2)--(0,3) node[above]{$Y$};

siku{B}{A}{C}

draw[Periwinkle,domain=-1:3,samples=200,smooth] plot (x,{.5*x+1.5});

draw[Peach] (O)--(A)--($(C)!-.3!(A)$) (B)--(C) ;

draw[blue,thick,domain=0:3,samples=200,smooth] plot (x,{(6*x+2)^(1/3)}) node[right,black] {$y=(6x+2)^{frac{1}{3}}$}; %here the plot

end{tikzpicture}

share|improve this question

asked 13 mins ago

kalakaykalakay

1,037725

share|improve this question

asked 13 mins ago

kalakaykalakay

1,037725

asked 13 mins ago

kalakaykalakay

1,037725

asked 13 mins ago

kalakaykalakay

1,037725

1 Answer
1

active

oldest

votes

0

The function is not well-defined for x<-1/3 because a^x=exp(). You may plotsign(6x+2)*|6x+2|^{frac{1}{3}}` instead.

documentclass[tikz,border=3.14mm]{standalone}

usetikzlibrary{calc}

begin{document}

begin{tikzpicture}[scale=1,line join=round, font=footnotesize]

coordinate[label={[rotate=28,shift={(.3,-.05)}]above:{$A(1,2)$}}] (A) at (1,2);

coordinate[label={[shift={(.05,.15)}]left:$B$}] (B) at (0,1.5);

coordinate[label={[shift={(.13,-.05)}]above:$C$}] (C) at (2,0);

coordinate[label={[shift={(-.15,0)}]below:$O$}] (O) at (0,0);

coordinate[label={[shift={(0,.05)}]right:$E$}] (E) at (.55,1.1);

draw[-stealth] (-1,0)--(4,0) node[right]{$X$};

draw[-stealth] (0,-2)--(0,3) node[above]{$Y$};

%siku{B}{A}{C}

draw[purple,domain=-1:3,samples=200,smooth] plot (x,{.5*x+1.5});

draw[orange] (O)--(A)--($(C)!-.3!(A)$) (B)--(C) ;

draw[blue,thick,domain=-1:3,samples=200,smooth] plot (x,{sign(6*x+2)*pow(abs(6*x+2),1/3)}) node[right,black] {$y=(6x+2)^{frac{1}{3}}$}; %here the plot

end{tikzpicture}

end{document}

share

answered 2 mins ago

marmotmarmot

120k6156292

add a comment | 

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0

The function is not well-defined for x<-1/3 because a^x=exp(). You may plotsign(6x+2)*|6x+2|^{frac{1}{3}}` instead.

documentclass[tikz,border=3.14mm]{standalone}

usetikzlibrary{calc}

begin{document}

begin{tikzpicture}[scale=1,line join=round, font=footnotesize]

coordinate[label={[rotate=28,shift={(.3,-.05)}]above:{$A(1,2)$}}] (A) at (1,2);

coordinate[label={[shift={(.05,.15)}]left:$B$}] (B) at (0,1.5);

coordinate[label={[shift={(.13,-.05)}]above:$C$}] (C) at (2,0);

coordinate[label={[shift={(-.15,0)}]below:$O$}] (O) at (0,0);

coordinate[label={[shift={(0,.05)}]right:$E$}] (E) at (.55,1.1);

draw[-stealth] (-1,0)--(4,0) node[right]{$X$};

draw[-stealth] (0,-2)--(0,3) node[above]{$Y$};

%siku{B}{A}{C}

draw[purple,domain=-1:3,samples=200,smooth] plot (x,{.5*x+1.5});

draw[orange] (O)--(A)--($(C)!-.3!(A)$) (B)--(C) ;

draw[blue,thick,domain=-1:3,samples=200,smooth] plot (x,{sign(6*x+2)*pow(abs(6*x+2),1/3)}) node[right,black] {$y=(6x+2)^{frac{1}{3}}$}; %here the plot

end{tikzpicture}

end{document}

share

answered 2 mins ago

marmotmarmot

120k6156292

add a comment | 

0

The function is not well-defined for x<-1/3 because a^x=exp(). You may plotsign(6x+2)*|6x+2|^{frac{1}{3}}` instead.

documentclass[tikz,border=3.14mm]{standalone}

usetikzlibrary{calc}

begin{document}

begin{tikzpicture}[scale=1,line join=round, font=footnotesize]

coordinate[label={[rotate=28,shift={(.3,-.05)}]above:{$A(1,2)$}}] (A) at (1,2);

coordinate[label={[shift={(.05,.15)}]left:$B$}] (B) at (0,1.5);

coordinate[label={[shift={(.13,-.05)}]above:$C$}] (C) at (2,0);

coordinate[label={[shift={(-.15,0)}]below:$O$}] (O) at (0,0);

coordinate[label={[shift={(0,.05)}]right:$E$}] (E) at (.55,1.1);

draw[-stealth] (-1,0)--(4,0) node[right]{$X$};

draw[-stealth] (0,-2)--(0,3) node[above]{$Y$};

%siku{B}{A}{C}

draw[purple,domain=-1:3,samples=200,smooth] plot (x,{.5*x+1.5});

draw[orange] (O)--(A)--($(C)!-.3!(A)$) (B)--(C) ;

draw[blue,thick,domain=-1:3,samples=200,smooth] plot (x,{sign(6*x+2)*pow(abs(6*x+2),1/3)}) node[right,black] {$y=(6x+2)^{frac{1}{3}}$}; %here the plot

end{tikzpicture}

end{document}

share

answered 2 mins ago

marmotmarmot

120k6156292

add a comment | 

The function is not well-defined for x<-1/3 because a^x=exp(). You may plotsign(6x+2)*|6x+2|^{frac{1}{3}}` instead.

documentclass[tikz,border=3.14mm]{standalone}

usetikzlibrary{calc}

begin{document}

begin{tikzpicture}[scale=1,line join=round, font=footnotesize]

coordinate[label={[rotate=28,shift={(.3,-.05)}]above:{$A(1,2)$}}] (A) at (1,2);

coordinate[label={[shift={(.05,.15)}]left:$B$}] (B) at (0,1.5);

coordinate[label={[shift={(.13,-.05)}]above:$C$}] (C) at (2,0);

coordinate[label={[shift={(-.15,0)}]below:$O$}] (O) at (0,0);

coordinate[label={[shift={(0,.05)}]right:$E$}] (E) at (.55,1.1);

draw[-stealth] (-1,0)--(4,0) node[right]{$X$};

draw[-stealth] (0,-2)--(0,3) node[above]{$Y$};

%siku{B}{A}{C}

draw[purple,domain=-1:3,samples=200,smooth] plot (x,{.5*x+1.5});

draw[orange] (O)--(A)--($(C)!-.3!(A)$) (B)--(C) ;

draw[blue,thick,domain=-1:3,samples=200,smooth] plot (x,{sign(6*x+2)*pow(abs(6*x+2),1/3)}) node[right,black] {$y=(6x+2)^{frac{1}{3}}$}; %here the plot

end{tikzpicture}

end{document}

share

answered 2 mins ago

marmotmarmot

120k6156292

documentclass[tikz,border=3.14mm]{standalone}

usetikzlibrary{calc}

begin{document}

begin{tikzpicture}[scale=1,line join=round, font=footnotesize]

coordinate[label={[rotate=28,shift={(.3,-.05)}]above:{$A(1,2)$}}] (A) at (1,2);

coordinate[label={[shift={(.05,.15)}]left:$B$}] (B) at (0,1.5);

coordinate[label={[shift={(.13,-.05)}]above:$C$}] (C) at (2,0);

coordinate[label={[shift={(-.15,0)}]below:$O$}] (O) at (0,0);

coordinate[label={[shift={(0,.05)}]right:$E$}] (E) at (.55,1.1);

draw[-stealth] (-1,0)--(4,0) node[right]{$X$};

draw[-stealth] (0,-2)--(0,3) node[above]{$Y$};

%siku{B}{A}{C}

draw[purple,domain=-1:3,samples=200,smooth] plot (x,{.5*x+1.5});

draw[orange] (O)--(A)--($(C)!-.3!(A)$) (B)--(C) ;

draw[blue,thick,domain=-1:3,samples=200,smooth] plot (x,{sign(6*x+2)*pow(abs(6*x+2),1/3)}) node[right,black] {$y=(6x+2)^{frac{1}{3}}$}; %here the plot

end{tikzpicture}

end{document}

share

answered 2 mins ago

marmotmarmot

120k6156292

answered 2 mins ago

marmotmarmot

120k6156292

answered 2 mins ago

marmotmarmot

120k6156292